Making the sneutrino a Higgs particle with aU(1)Rlepton number
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Abstract
We present a supersymmetric extension of the Sstandard model that possesses a continuous $U(1{)}_{R}$ symmetry, which is identified with one of three lepton numbers, and where a sneutrino vev gives mass to the down-type quark and leptons. This idea allows for a smaller particle content than the minimal $R$-symmetric supersymmetry extension of the standard model. We explore bounds on this model coming from electroweak precision measurements, neutrino masses, and gravitino decay. Bounds from electroweak precision measurements lead to a two-sided bound on $\mathrm{tan}\ensuremath{\beta}$, while gravitino decay forces a low reheating temperature. Finally, the generation of neutrino masses from $R$-symmetry violation put an upper bound on the SUSY-breaking scale. Despite all of this, we find that the allowed parameter space is still large and would lead to a distinctive phenomenology at the LHC.